Welcome to the forum.
There is a definite possibility that your birds will follow the others back to the neighbor's. There's a slim possibility the neighbor's birds will settle in with yours. It's going to depend on what the rooster does.
You can try giving your birds treats just before lock down. Get them trained so that they understand they've got something good waiting on them if they're home. It's pretty much what I've done with my Guineas.
There is a definite possibility that your birds will follow the others back to the neighbor's. There's a slim possibility the neighbor's birds will settle in with yours. It's going to depend on what the rooster does.
You can try giving your birds treats just before lock down. Get them trained so that they understand they've got something good waiting on them if they're home. It's pretty much what I've done with my Guineas.